Greatest Common Factor of 3102/11, 7502/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3102/11, 7502/624

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3102/11,7502/624

Given fractions are 3102/11,7502/624

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3102,7502

Greatest Common Factor of Numerators i.e. GCF of 3102,7502 is 22 .

LCM of Denominators means LCM of 11,624 as per the given fractions.

LCM of 11,624 is 6864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3102,7502

GCF of Fractions 3102/11,7502/624 is 22/6864

2 3102, 7502
11 1551, 3751
141, 341

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 3102,7502 By Matching Biggest Common Factor Method

Greatest Common Factor of 3102,7502 By Matching Biggest Common Factor Method

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Greatest Common Factor

We found the factors 3102,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 3102,7502 is 22.

Lets's calculate LCM of 11,624

Given numbers has no common factors except 1. So, there LCM is their product i.e 6864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/6864

Therefore, the GCF of Fractions 3102/11,7502/624 is 22/6864

Least Common Multiple of 11,624 with GCF Formula

Least Common Multiple of 11,624 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 11,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,624) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,624) x common factors =1 x 1 = 1

LCM(11,624) = ( 11 × 624 ) / 1

LCM(11,624) = 6864 / 1

LCM(11,624) = 6864


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3102/11, 7502/624

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3102/11, 7502/624?

Answer: GCF of Numerators as per given numbers 3102/11, 7502/624 is

GCF of Numerators i.e. for 3102,7502 is 22

LCM of denominators i.e. for 11,624 is 6864.

Thus, GCF of Fractions is 22/6864.Finally, GCF of Fractions for 3102/11, 7502/624 is 22/6864.